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Misrepresentation of Results

Interactive practice questions

Lachlan asks $120$120 Year 12 students at his school how much time they spend on homework per night. $78$78 Year 12 students say they do more than $3$3 hours. At a meeting of the student council Lachlan reports "$65%$65% of students at this school do too much homework.

Which one of the following explains why this is misleading?

The survey does not represent the population of the school.

A

The question should have been multiple choice.

B

The question was biased.

C

The sample size was too small.

D
Easy
< 1min

How does this graph misrepresent the statistics?

Select the two appropriate options.

Easy
< 1min

A newspaper states: "Oil prices have risen by $33%$33% over the last two years."

In the article it states that in 2010 the oil prices increased by $10%$10% and in 2011 the oil price increased by $23%$23%.

Easy
< 1min

How does this graph misrepresent the statistics collected?

Medium
< 1min
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Outcomes

S5-1

Plan and conduct surveys and experiments using the statistical enquiry cycle:– determining appropriate variables and measures;– considering sources of variation;– gathering and cleaning data;– using multiple displays, and re-categorising data to find patterns, variations, relationships, and trends in multivariate data sets;– comparing sample distributions visually, using measures of centre, spread, and proportion;– presenting a report of findings

S5-2

Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings

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